Double Asynchronous Quasi-Time-Dependent $H_{\infty}$ Filtering for Nonlinear Switched Systems via Event-Triggered Communication Mechanism
Lijie You, Zenghui Hu, Xiaowu Mu · IEEE Transactions on Fuzzy Systems · 2021
Based on an interval type-2 fuzzy model, an event-triggered communication mechanism, and the mode-dependent persistent dwell time, the quasi-time-dependent$H_{\infty}$filtering problem is investigated for nonlinear switched systems in the presence of double asynchronous phenomenon. The filter and the system’s premise variables and modes are usually mismatched in practical environment, i.e., the double asynchronous phenomenon. The mode asynchronous interval is allowed to exceed the dwell time. The free matrices are introduced to deal with the mismatched membership function. By the quasi-time-dependent Lyapunov function and the event-triggered communication mechanism, the sufficient conditions are given to make the filtering error system exponentially stable and satisfy an$H_{\infty}$performance. Then, the double asynchronous quasi-time-dependent filter is determined by solving linear matrix inequalities. Finally, a tunnel diode circuit simulation example is given to illustrate the validity of the results.